"The appeal of Aviva Premiership Rugby is at an all-time high and selling out the Final so quickly this year is great news for professional club rugby in England," said Dominic Hayes, Premiership Rugby's commercial director.
"Saturday's game has captured the public's imagination and the buzz around a Tigers v Saints match on domestic rugby's biggest stage is huge.
"It is testament to the great work of the team involved in marketing the Final and also to our 12 clubs all of whom will be well represented at Twickenham on Saturday."
This is the fifth consecutive year that the Premiership Final has sold out.
The final will be broadcast live on ESPN, 5 Live and talkSPORT with an extended highlights programme on ITV4 at 11pm on Saturday night.
Live coverage of the Final will be shown on big screens in the Final Whistle at Welford Road on Saturday.